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Finding the Third Proportional to 486,191 and 735,995.50

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Solution

The third proportional to 486,191 and 735,995.50 is: 1,114,149.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,191 : 735,995.50 = 735,995.50 : x
  2. Step 2: Convert to fraction form
    486,191/735,995.50 = 735,995.50/x
  3. Step 3: Cross multiply
    486,191x = 735,995.50 × 735,995.50
  4. Step 4: Simplify right side
    486,191x = 541,689,376,020.25
  5. Step 5: Solve for x
    x = 541,689,376,020.25/486,191
  6. Step 6: Final answer
    x = 1,114,149.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.